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Finding the Third Proportional to 32,433.75 and 70,547.63

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Solution

The third proportional to 32,433.75 and 70,547.63 is: 153,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433.75 : 70,547.63 = 70,547.63 : x
  2. Step 2: Convert to fraction form
    32,433.75/70,547.63 = 70,547.63/x
  3. Step 3: Cross multiply
    32,433.75x = 70,547.63 × 70,547.63
  4. Step 4: Simplify right side
    32,433.75x = 4,976,967,393.14
  5. Step 5: Solve for x
    x = 4,976,967,393.14/32,433.75
  6. Step 6: Final answer
    x = 153,450.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.